What is the Least Common Multiple of 45040 and 45050?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 45040 and 45050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45040 and 45050, than apply into the LCM equation.

GCF(45040,45050) = 10
LCM(45040,45050) = ( 45040 × 45050) / 10
LCM(45040,45050) = 2029052000 / 10
LCM(45040,45050) = 202905200

Least Common Multiple (LCM) of 45040 and 45050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45040 and 45050. First we will calculate the prime factors of 45040 and 45050.

Prime Factorization of 45040

Prime Factorization of 45050

Now multiplying the highest exponent prime factors to calculate the LCM of 45040 and 45050.

LCM(45040,45050) = 2⁴ × 5² × 563¹ × 17¹ × 53¹
LCM(45040,45050) = 202905200